Kim and Kostrikin constructed in Sbornik Math. 188 (1997) a tessellation on the boundary of a polyhedral 3-cell consisting of 8n pentagons. The tessellation produces a family of closed connected orientable 3-manifolds with spines corresponding to certain presentations of their fundamental groups. We investigate the topological and algebraic properties of such groups together with their derived quotients and split extensions, and completely classify the considered manifolds.
A topological study of some groups arising from cellular quotients / Cavicchioli, Alberto; Spaggiari, Fulvia; Mo, Wang. - In: ALGEBRA COLLOQUIUM. - ISSN 1005-3867. - STAMPA. - 13:2(2006), pp. 349-360. [10.1142/S1005386706000307]
A topological study of some groups arising from cellular quotients
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia;
2006-01-01
Abstract
Kim and Kostrikin constructed in Sbornik Math. 188 (1997) a tessellation on the boundary of a polyhedral 3-cell consisting of 8n pentagons. The tessellation produces a family of closed connected orientable 3-manifolds with spines corresponding to certain presentations of their fundamental groups. We investigate the topological and algebraic properties of such groups together with their derived quotients and split extensions, and completely classify the considered manifolds.
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